Mathematics
GCSE Mathematics is comprised of 6 strands; number, algebra, geometry and measures, statistics, ratio and rates of change, and probability. Our curriculum is designed to develop students’ mastery of core mathematics skills during year 7 to 9 whilst promoting problem solving skills throughout all five years to meet the requirements of the new GCSE.
In years 10 & 11, students on course to attain the highest grades in Set 1 will also work towards achieving a Level 2 Certificate in Further Mathematics. This course acts as a bridge between GCSE and ALevel mathematics, but is also particularly relevant for students wishing to study physics, engineering and computing (amongst other subjects) in further education. Students can also choose to study Statistics as one of their option subjects in years 10 & 11.
Areas of Study
Autumn Term  Spring Term  Summer Term  
Year 7 Standard

Numbers and the number system
Calculating Calculating: division Visualising and constructing Investigating properties of shapes Algebraic proficiency: using formulae

Exploring fractions, decimals and percentages
Proportional reasoning Pattern sniffing Measuring space Investigating angles

Calculating fractions, decimals, and percentages
Solving equations and inequalities Calculating space Checking approximating and estimating Mathematical movement Presentation of data Measuring data 
Year 8 Standard / Year 7 Higher

Numbers and the number system
Counting and comparing Calculating Visualising and constructing Investigating properties of shapes Algebraic proficiency: tinkering 
Exploring fractions, decimals and percentages
Proportional reasoning Pattern sniffing Measuring space Investigating angles Calculating fractions, decimals and percentages Solving equations and inequalities 
Calculating space
Checking approximating and estimating Mathematical movement Presentation of data Measuring data

Year 8 Higher

Number and the number system
Calculating Visualising and constructing Understanding risk 1 Algebraic proficiency: tinkering

Exploring fractions, decimals and percentages
Proportional reasoning Pattern sniffing Investigating angles Calculating fractions, decimals and percentages Solving equations and inequalities 
Calculating space
Algebraic proficiency: visualising Understanding risk 2 Presentation of data Measuring data

Year 9 Standard  Number and the number system
Calculating Visualising and constructing Understanding risk 1 Algebraic proficiency: tinkering Exploring fractions, decimals and percentages Proportional reasoning Pattern sniffing 
Investigating angles
Calculating fractions, decimals and percentages Solving equations and inequalities Calculating space Algebraic proficiency: visualising Understanding risk 2 Presentation of data Measuring data 
COMMENCEMENT OF GCSE SYLLABUS
Number 1: LCM, HCF, product of prime factors
Algebra 1: Algebraic Expressions including substitution, expansion and factorisation
Geometry & Measures 1: Angles including parallel lines, bearings & polygons
Data Handling 1: Averages and range including stem & leaf diagrams 
Year 9 Higher  Calculating
Visualising and constructing Algebraic proficiency: tinkering Pattern sniffing Solving equations and inequalities 1 Calculating space 
Conjecturing
Algebraic proficiency: visualising Solving equations and inequalities 2 Understanding risk Presentation of data 
COMMENCEMENT OF GCSE SYLLABUS
Number 1: multiples, factors, primes, laws of indices (including fraction and negative), standard form, surds Algebra 1: expressions – substitution, expansion, factorising, algebraic fractions Geometry and Measures 1: angles in parallel lines, polygons, bearings, circle theorems Data Handling 1: statistics including data collection / sampling, averages and range including grouped data, scatter diagrams, time series 
Year 10 (Foundation)

Number 2: decimals including estimation, upper and lower bounds
Geometry and Measures 2: 2D shapes – area and perimeter including parts of a circle (arc, sector, segment) Algebra 2: solve equations including quadratics Number 3: Fractions Geometry and Measures 3: Transformation (including fraction scale factor), symmetry, similar shapes 
Algebra 3: formulae including substitution, change of subject, distinguish equation / formula / expression / identity
Number 4: percentages including use of multiplier, compound interest Data Handling 2: presenting data including pie chart, scatter diagram, frequency polygon, time series

Geometry and Measures 4: volume and surface area of 3D shapes including sphere and pyramids
Algebra 4: sequences including geometric, nth term of linear sequence Number 5: ratio and proportion (direct and inverse) Algebra 5: algebraic graphs – linear, quadratic, cubic and reciprocal

Year 10
(Higher)

Number 2: fractions and decimals including upper and lower bounds calculations
Geometry and Measures 2: 2D shapes – area and perimeter including parts of a circle (arc, sector, segment) Algebra 2: linear equations and graphs including algebraic and graphical solutions of simultaneous equations Number 3: percentages including use of multiplier (exponential growth and decay), reverse percentages Geometry and Measures 3: Transformations including negative and fractional scale factor enlargement 
Algebra 3: formulae and sequences – substitution and transpose formulae, nth term of linear and quadratic sequences
Geometry and Measures 4: trigonometry 1 including Pythagoras and 3D shapes Data Handling 2: Statistics 2 including cumulative frequency, box plots, and histograms Geometry and Measures 5: 3D shapes – surface area and volume of prisms, pyramids, spheres, and the frustum

Algebra 4: algebraic graphs including quadratic, cubic, reciprocal, exponential
Number 4: ratio and proportion including direct and inverse proportion, and graphs Geometry and Measures 6: Loci, construction and congruence Algebra 5: Inequalities including graphical solutions Data Handling 3: Probability

Year 11 (Foundation)

Number 5:
Ratio & Proportion (direct and inverse)
Algebra 5 Algebraic Graphs linear, quadratic, cubic and reciprocal
Geometry & Measure 5 Measure inc compound; conversion of measure, graphs
Algebra 6 Inequalities notation, on a line, solve
Number 6 Powers & Roots inc rules for indices & standard form
Geometry & Measure 6 Pythagoras Theorem and Trigonometry 
Data Handling 3:
Probability
Geometry & Measure: Constructions Loci Congruence
Algebra 7: Solve Simultaneous Equations – algebraic & graphical methods
Algebra 8: Vector Geometry

PREPARATION FOR THE GCSE EXAMINATIONS MODIFIED SYLLABUS BASED ON MOCK ANALYSIS 
Year 11
(Higher)

Number 4:
Ratio & Proportion inc direct & inverse & graphs
Geometry & Measure 6: Loci, Constructions & Congruence
Algebra 5: Inequalities inc graphical solutions
Data Handling 3: Probability
Algebra 6: Further Factorising Quadratics inc complete the square; Manipulate & simplify algebraic fractions
Geometry & Measure 7: Trigonometry 2 inc sine/cosine rule, trig graphs, area formula 
Algebra 7:
Solve Quadratic Equations inc factorising, completing square, formula; Equations with fractions
Geometry & Measure 8: Similar Shapes inc length, area and volume
Algebra 8: Simultaneous Equations linear/quadratic equations; Equation of circle; Equation of tangent
Geometry & Measures 9: Vectors in solve geometric problems
Algebra 9: Transformation of Functions inc trigonometric graphs 
PREPARATION FOR THE GCSE EXAMINATIONS MODIFIED SYLLABUS BASED ON MOCK ANALYSIS 
Assessment
Students in years 7 to 9 will be assessed throughout the year through the use of fortnightly maths tracker tests, online Firefly quizzes and year GCSEstyle termly examinations. Beginning in year 9 until the end of year 11students are assessed using end of unit assessments and GCSE papers. Progress is also informed by class work and homework.
Firefly/Extended Learning
Extended learning activities are set as according to the school policy, through the school’s virtual learning environment (VLE) Firefly. This way all tasks can be viewed by students and their parents/carers. We encourage daily use of Firefly with students regularly clearing completed tasks on the ‘Your Tasks’ section of their profile to maintain good organisation.
In addition to this Firefly also contains useful information and support material. Details about equipment, suitable calculators and assessment dates are kept up to date on the Mathematics pages. A range of practise examination papers, tutorial videos on different topics and a student moderated forum section are also available.
Exam Specifications
AQA GCSE Mathematics Specification
AQA GCSE Statistics Specification
AQA Level 2 Further Mathematics Specification
Online Resources
MyMaths – An online resource for all students to access for reference, practise and homework purposes. Students all have a personal login that enables them to keep a record of their progress across topics throughout their time at Trentham.
TTRockstars – TTRockstars (Times Table Rockstars) is an online system designed to support students in learning their times tables, vital for progress in a wide range of mathematic topics.
BBC Bitesize – Student resources for revising mathematics.
Apps
iMathematics – A tool for reference and practise purposes, particularly for number, algebra and geometry topics.
Minds of Modern Mathematics – An app that details practical applications and the historical developments made in the field of mathematics.
MyScript Calculator – A handwriting calculator particularly useful for developing understanding of the order of operations and mathematical syntax.
Calculator for iPad – A free calculator to make up for the absence of an existing one.
Geometry Pad – An app for creating interactive diagrams to assist in understanding a range of geometry topics.
Quick Graph – An app for plotting graphs from an equation.
Extra –curricular activities
 Year 11 mock examination preparation (end of Autumn term)
 Year 11 GCSE preparation (Summer term)
 Homework club in AW1 (one lunchtime per week – see student briefing)
 Chess club (weekly – see student briefing)
Statistics
Statistics is the branch of mathematics that deals with the collection, analysis and interpretation of data. In studying statistics, a wide range of job opportunities are available. A statistician may:
 Consult in the design, analysis and evaluation of clinical studies for pharmaceutical companies
 Design experiments for agricultural, ecological, environmental or energyrelated studies
 Investigate mortality and accident rates for insurance companies
 Derive opinion polls for a public relations firm or television network
 Work with psychologists to develop theories relating to learning and behaviour
 Evaluate the performance of combinations of chemicals in industry
 Conduct reliability and quality control evaluations in a variety of industries
 Develop time series and forecasting models for different socioeconomic sections of society
Areas of Study
In years 7 to 9 statistics is studied as part of the main provision for mathematics (see information on mathematics curriculum)
Autumn Term  Spring Term  Summer Term  
Year 10  Planning a strategy
Data collection: types of data, obtaining data, census data, sampling, conducting a survey/experiment Tabulation for ungrouped and grouped data Graphs for qualitative data (pie charts and comparative pie charts) 
Graphs for qualitative data (pie charts and comparative pie charts)
Graphs for quantitative discrete data (vertical line graphs) Graphs for quantitative continuous data (frequency polygons, population pyramids, histograms with equal and unequal class intervals) 
Measures of averages (arithmetic mean, geometric mean, median, mode, and estimates from grouped data)
Measures of spread (range, quartiles, interquartile range, interdecile and interpercentile range, standard deviation and variance, types of distribution, normal distribution, skew, and standardised scores) 
Year 11  Cumulative frequency curves and polygons, and box and whisker plot (drawing, estimating median, quartiles, IQR, deciles, interdecile range and percentiles)Scatter graphs (plotting, drawing line of best fit using doublemean point, correlation, Spearman’s correlation coefficient, interpreting Product Moment correlation coefficient, interpolation and extrapolation, calculation of the equation of the line of best fit)
Time series (graph, moving averages, trend line, seasonal effect, zcharts, output gap charts 
Remaining calculations and graphing methods (chloropleth maps, transforming data from one presentation to another, index number, chain base numbers, RPI, CPI, crude rates and standardised rates)
Probability (compound events, sample space diagrams, Venn diagrams, tree diagrams, conditional probability, expected frequencies) Controlled Assessment 
Revision and time to cover topics identified as weaker areas from Y11 mock examination 
Assessment
During formal assessment periods during year 10 and year 11, students will complete a past paper examination. Each term throughout year 10, and the autumn term of year 11, students will complete a practise controlled assessment. Teachers will also use end of unit assessment and homework to track progress.
Firefly/Extended Learning
Extended learning activities are set as according to the school policy, through the school’s virtual learning environment (VLE) Firefly. This way all tasks can be viewed by students and their parents/carers. We encourage daily use of Firefly with students regularly clearing completed tasks on the ‘Your Tasks’ section of their profile to maintain good organisation.
In addition to this Firefly also contains useful information and support material. Details about equipment, suitable calculators and assessment dates are kept up to date on the Mathematics pages.
Links to useful Resources/ Exam Specifications/ Apps
AQA GCSE Statistics Specification (4310)
MyMaths – An online resource for all students to access for reference, practise and homework purposes. Students all have a personal login that enables them to keep a record of their progress across topics throughout their time at Trentham. There is a dedicated area on GCSE statistics within the website.
BBC Bitesize – Student resources for revising mathematics.
Minds of Modern Mathematics – An app that details practical applications and the historical developments made in the field of mathematics.
MyScript Calculator – A handwriting calculator particularly useful for developing understanding of the order of operations and mathematical syntax.
Calculator for iPad – A free calculator to make up for the absence of an existing one.
Quick Graph – An app for plotting graphs from an equation.
Extra –curricular activities
 Year 11 mock examination preparation (end of Autumn term)
 Year 11 GCSE preparation (Summer term)
 Homework club in AW1 (one lunchtime per week – see student briefing)